A Compact Formula for Rotations as Spin Matrix Polynomials
Copyright policy )A Compact Formula for Rotations as Spin Matrix Polynomials
Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. The simple explicit result exhibits connections between group theory, combinatorics, and Fourier analysis, especially in the large spin limit. Salient intuitive features of the formula are illustrated and discussed.
- Miami University United States
- Argonne National Laboratory United States
- Durham University United Kingdom
- University System of Ohio United States
High Energy Physics - Theory, Quantum Physics, Algebraic systems of matrices, matrix exponentials, FOS: Physical sciences, Mathematical Physics (math-ph), spin matrices, Finite-dimensional groups and algebras motivated by physics and their representations, Matrix exponential and similar functions of matrices, High Energy Physics - Theory (hep-th), Applications of Lie groups to the sciences; explicit representations, Quantum Physics (quant-ph), Spinor and twistor methods applied to problems in quantum theory, Mathematical Physics
High Energy Physics - Theory, Quantum Physics, Algebraic systems of matrices, matrix exponentials, FOS: Physical sciences, Mathematical Physics (math-ph), spin matrices, Finite-dimensional groups and algebras motivated by physics and their representations, Matrix exponential and similar functions of matrices, High Energy Physics - Theory (hep-th), Applications of Lie groups to the sciences; explicit representations, Quantum Physics (quant-ph), Spinor and twistor methods applied to problems in quantum theory, Mathematical Physics
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